Find the values of my and n

m=60 and n=24

Step-by-step explanation:

Corresponding Angles:

2m = 4m - 120

-2m = -120

m = 60

Vertical Angles:

4m - 120 = 5n

4(60) - 120 = 5n

240 - 120 = 5n

120 = 5n

5n = 120

n = 24

(This is what I got, I apologize if I'm incorrect)

Last option is correct.

Step-by-step explanation:

A pair of interior and exterior angles which lies to the same side of the transversal is called corresponding angles. The lines make an F - shape. In our case , 2m° and ( 4m - 120) ° are corresponding angles. Also, Remember that corresponding angles are always equal. Now, Let's create an equation and solve for m.

⇢ { Move 4m to left hand side and change it's sign}

⇢ { Subtract 4m from 2m}

⇢ { Divide both sides by -2}

⇢

When two lines intersect, the angles formed opposite to each other are called vertically opposite angles. In our case, ( 4m - 120 )° and 5n° are vertically opposite angles. Vertically opposite angles are always equal. Now, Let's create an equation and solve for m.

We have , m = 60°

⇢ { Plug the value of m}

⇢ { Multiply the numbers : 4 by 60 }

⇢ { Subtract 120 from 240 }

⇢ { Divide both sides by 5 }

⇢

!

!

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answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.

125 yards

step-by-step explanation:

i take 75 plus 50.